90510085 has 8 divisors (see below), whose sum is σ = 108733176. Its totient is φ = 72327360.

The previous prime is 90510067. The next prime is 90510113. The reversal of 90510085 is 58001509.

It can be written as a sum of positive squares in 4 ways, for example, as 2563201 + 87946884 = 1601^2 + 9378^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90510085 - 2¹³ = 90501893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4914 + ... + 14323.

It is an arithmetic number, because the mean of its divisors is an integer number (13591647).

Almost surely, 2^90510085 is an apocalyptic number.

It is an amenable number.

90510085 is a deficient number, since it is larger than the sum of its proper divisors (18223091).

90510085 is a wasteful number, since it uses less digits than its factorization.

90510085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20183.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 90510085 is about 9513.6788362862. The cubic root of 90510085 is about 448.9855088635.

It can be divided in two parts, 905100 and 85, that added together give a triangular number (905185 = T₁₃₄₅).

The spelling of 90510085 in words is "ninety million, five hundred ten thousand, eighty-five".